Hello Nessa I can’t directly answer you question, but I may be able to help. Moses Cook (b 1784) of a Rock is my great great great great grandfather. His father Joseph was born 1760. I don’t have a record of any siblings pre the end of the C18th. I assume the Jane Cook you’re referring to was the mother of a Thomas Oliver ( as given in the 1844 census). Not sure how that helps - but it might provide a clue.